Online GCD Calculator is useful to find the GCD of 777, 189, 689 quickly. Get the easiest ways to solve the greatest common divisor of 777, 189, 689 i.e 1 in different methods as follows.
Given Input numbers are 777, 189, 689
In the factoring method, we have to find the divisors of all numbers
Divisors of 777 :
The positive integer divisors of 777 that completely divides 777 are.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
GCD of numbers is the greatest common divisor
So, the GCD (777, 189, 689) = 1.
Given numbers are 777, 189, 689
The list of prime factors of all numbers are
Prime factors of 777 are 3 x 7 x 37
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 689 are 13 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 777, 189, 689
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(777, 189) = 6993
GCD(777, 189) = ( 777 x 189 ) / 6993
= 777 / 189
= 777
Step2:
LCM(21, 689) = 14469
GCD(21, 689) = ( 21 x 689 ) / 14469
= 21 / 689
= 21
So, Greatest Common Divisor of 777, 189, 689 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 777, 189, 689
The greatest common divisor of numbers 777, 189, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 777, 189, 689 is 1.
1. What is the GCD of 777, 189, 689?
GCD of given numbers 777, 189, 689 is 1
2. How to calculate the greatest common divisor of 777, 189, 689?
We can find the highest common divisor of 777, 189, 689 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 777, 189, 689 i.e 1.
3. How can I use the GCD of 777, 189, 689Calculator?
Out the numbers 777, 189, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.